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Finding the Fourth Proportional to 3,362.51, 5,043.36 and 897.53

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Solution

The fourth proportional to 3,362.51, 5,043.36 and 897.53 is: 1,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.51 : 5,043.36 = 897.53 : x
  2. Step 2: Convert to fraction form
    3,362.51/5,043.36 = 897.53/x
  3. Step 3: Cross multiply
    3,362.51x = 5,043.36 × 897.53
  4. Step 4: Simplify right side
    3,362.51x = 4,526,573.42
  5. Step 5: Solve for x
    x = 4,526,573.42/3,362.51
  6. Step 6: Final answer
    x = 1,346.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.